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LT8580 датащи(PDF) 13 Page - Linear Technology |
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LT8580 датащи(HTML) 13 Page - Linear Technology |
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13 / 32 page ![]() LT8580 13 8580fa For more information www.linear.com/LT8580 applicaTions inForMaTion As with any feedback loop, identifying the gain and phase contribution of the various elements in the loop is critical. Figure5showsthekeyequivalentelementsofaboostcon- verter. Because of the fast current control loop, the power stage of the IC, inductor and diode have been replaced by a combination of the equivalent transconductance ampli- fier gmp and the current controlled current source which converts IVIN to (hVIN/VOUT) • IVIN. gmp acts as a current source where the peak input current, IVIN, is proportional to the VC voltage. h is the efficiency of the switching regulator, and is typically about 85%. Note that the maximum output currents of gmpandgmaare finite.ThelimitsforgmpareintheElectricalCharacteristics section (switch current limit), and gmaisnominallylimited to about +15µA and –17µA. Figure 5. Boost Converter Equivalent Model – + gma RC RO R2 R2 CC: COMPENSATION CAPACITOR COUT: OUTPUT CAPACITOR CPL: PHASE LEAD CAPACITOR CF: HIGH FREQUENCY FILTER CAPACITOR gma: TRANSCONDUCTANCE AMPLIFIER INSIDE IC gmp: POWER STAGE TRANSCONDUCTANCE AMPLIFIER RC: COMPENSATION RESISTOR RL: OUTPUT RESISTANCE DEFINED AS VOUT DIVIDED BY ILOAD(MAX) RO: OUTPUT RESISTANCE OF gma R1, R2: FEEDBACK RESISTOR DIVIDER NETWORK RESR: OUTPUT CAPACITOR ESR η: CONVERTER EFFICIENCY (~85% AT HIGHER CURRENTS) 8580 F05 R1 FBX COUT CPL RL RESR VOUT IVIN VC CC CF gmp 1.204V REFERENCE η • VIN VOUT •IVIN From Figure 5, the DC gain, poles and zeros can be cal- culated as follows: Output Pole: P1= 2 2 • π • RL • COUT Error AmpPole: P2 = 1 2 • π • RO +RC [ ] • CC Error Amp Zero: Z1= 1 2 • π • RC• CC DC Gain: (Breaking Loop at FBX Pin) ADC = AOL(0) = ∂VC ∂VFBX • ∂IVIN ∂VC • ∂VOUT ∂IVIN • ∂VFBX ∂VOUT = gma • R0 ( )• gmp• h • VIN VOUT • RL 2 ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ • 0.5R2 R1+ 0.5R2 ESR Zero: Z2 = 1 2 • π • RESR • COUT RHP Zero: Z3 = VIN2 • RL 4 • π • VOUT 2 • L HighFrequency Pole: P3 > fS 3 Phase Lead Zero: Z4 = 1 2 • π • R1• CPL Phase LeadPole: P4 = 1 2 • π • R1• R2 2 R1+ R2 2 • CPL Error Amp Filter Pole: P5 = 1 2 • π • RC • RO RC +RO • CF ,CF < CC 10 The current mode zero (Z3) is a right-half plane zero which can be an issue in feedback control design, but is manageable with proper external component selection. |
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